Evaluate the following integrals:

Given ![]()
Expressing the integral ![]()
![]()
![]()
Consider ![]()
Let 4x + 1 = 2 (2x + 2) – 3 and split,
![]()
![]()
Consider ![]()
Let ![]()
![]()
![]()
We know that ![]()
![]()
Now consider ![]()
![]()
Let u = x + 1 → dx = du
![]()
We know that ![]()
![]()
Then,
![]()

![]()
Then,
![]()
We know that ![]()
![]()
![]()
AI is thinking…
Couldn't generate an explanation.
Generated by AI. May contain inaccuracies — always verify with your textbook.



